- #1
Tio Barnabe
I wanted to argue that $$\frac{d}{d \cos \theta} \sin \theta, \ \theta \in [0, \pi]$$ should be ignored in the given interval, because integration of it leads to a divergent integral. Is this acceptable as a reason?
First off, ##\frac{d}{d \cos \theta} \sin \theta## is pretty unwieldy, as ##\sin(\theta)## isn't a function of ##\cos(\theta)## at first glance. However, you could write the derivative as ##\frac d {d(\cos(\theta))} (\pm \sqrt{1 - \cos^2{\theta}})##, and then use the chain rule. So, no, I don't see that it's reasonable to ignore it.Tio Barnabe said:I wanted to argue that $$\frac{d}{d \cos \theta} \sin \theta, \ \theta \in [0, \pi]$$ should be ignored in the given interval, because integration of it leads to a divergent integral. Is this acceptable as a reason?
The criteria for an acceptable justification may vary depending on the specific context or field of study, but generally it should be logical, supported by evidence, and relevant to the research question or hypothesis being tested.
The strength of a justification can be evaluated by considering the quality and quantity of evidence used to support it, as well as its coherence and consistency with previous research. It is also important to consider alternative explanations and address potential limitations of the justification.
No, personal opinions or beliefs should not be used as a justification in scientific research. Justifications should be based on objective evidence and reasoning, rather than subjective viewpoints.
If your justification contradicts previous research, it is important to carefully evaluate and address the reasons for the contradiction. This may involve considering different methods, populations, or interpretations of the evidence. If the contradiction cannot be resolved, it is important to acknowledge this in your research and discuss possible implications.
There is no specific format for presenting justifications in scientific research, as it may vary depending on the discipline or journal requirements. However, it is important to clearly state your justification and provide evidence to support it, whether it is in the form of data, literature review, or logical reasoning.